Question #10176

1 Answer
Matt B.
Oct 13, 2017

Find the volume of the prism, then subtract that amount from the volume of the sphere. The remaining amount will be the volume in between in whatever units.

#V_s = 4/3pir^3#

#V_p = lwh#

#V_s = 4/3pi(7)^3 = (1372pi)/3#

#V_p = (4)(6)(12) = 288#

Volume between sphere and inscribed prism is:

#V_s - V_p = (1372pi)/3 - 288 = (1372pi - 864)/3 approx 1148# cubic units

Related questions
Impact of this question
768 views around the world
You can reuse this answer
Creative Commons License